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Finding the Fourth Proportional to 82,823.00, 124,252.82 and 30,232.32

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Solution

The fourth proportional to 82,823.00, 124,252.82 and 30,232.32 is: 45,355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,823.00 : 124,252.82 = 30,232.32 : x
  2. Step 2: Convert to fraction form
    82,823.00/124,252.82 = 30,232.32/x
  3. Step 3: Cross multiply
    82,823.00x = 124,252.82 × 30,232.32
  4. Step 4: Simplify right side
    82,823.00x = 3,756,450,863.98
  5. Step 5: Solve for x
    x = 3,756,450,863.98/82,823.00
  6. Step 6: Final answer
    x = 45,355.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.